SOLUTION: Factor Completely. If a polynomial is prime, state this. 6x^3 - 4x^2 - 10x

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor Completely. If a polynomial is prime, state this. 6x^3 - 4x^2 - 10x      Log On


   



Question 282388: Factor Completely. If a polynomial is prime, state this.
6x^3 - 4x^2 - 10x

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
6x^3 - 4x^2 - 10x
=2x(3x^2-2x-5)
=2x(3x^2+3x-5x-5) [3*-5=-15; -5 & +3 are factors of -15 whose sum is -2]
=2x(3x(x+1)-5(x+1)) factoring by grouping.
=2x(3x-5)(x+1)
.
Ed